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On the pseudoplanes

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Abstract

In this paper a common foundation is given for K. Vitzthum's [4], V. Groze's [1] and R.Sandler's [3] generalisations of the concept of projective (resp.affine) plane.Particular features of the translation planes are studied.

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References

  1. GROZE,V.: Asupra coordonatizĂrii Şi scufundĂrii structurislor de incidenţĂ.Studia Universitatis BabeŞ-Bolyai,Series Mathematica-Mechanica, Fas.1,1971,37–47.

  2. HALL,M.,Jr.: The Theory of Groups.New York,1959,pp.353–356.

  3. SANDLER,R.: Pseudo Planes and Pseudo Ternaries.Journal of Algebra,4,1966,pp.300–316.

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  4. VITZTHUM,K.: Affine Pseudoebenen.Inaugural Dissertation ... Universität München,August 1968.

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Authors and Affiliations

  1. BabeŞ-Bolyai University, Cluj-Napoca, Rumania

    Victoria Groze

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  1. Victoria Groze
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Groze, V. On the pseudoplanes. J Geom 6, 21–30 (1975). https://doi.org/10.1007/BF01919758

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  • DOI: https://doi.org/10.1007/BF01919758

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